Question

The value of 'g' at a particular point is $9.8m/s^2$ suppose the earth suddenly shrinks uniformly to half its present size without any mass. The value of 'g' at the same point (assuming that the distance of the point from the center of earth does not shrink) will now be

• A. $4.9m/se{c}^2$
• B. $3.1m/se{c}^2$
• C. $9.8m/se{c}^2$
• D. $19.6m/se{c}^2$

Answer 1

The correct option is C $9.8m/se{c}^2$

Acceleration of gravitation, $a=\frac{GM}{R^2}$

Where,

M is mass of earth and R is separation between both masses.

If volume is reduce, keeping mass and separation between them same then.

From the formula it is clear that acceleration of gravity will remain constant.

Hence, value of $g$will be $9.8m{s}^{-2}$